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3 years ago

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Which is a factor pair of 72?A) 12,6B) 14,5C)23,4D)24,2

1 answer:

scoundrel [369]3 years ago

6 0

Answer:

the answer is A) 12,6. .

Step-by-step explanation:

.

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Find the slope between the two points given. Then, use the slope and the first point to write the equation of the line in Point-

Vera_Pavlovna [14]

M(slope)= -5/4 point-slope(y-y1=m(x-x1)) so it would be y-5= -5/4(x+4)

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3 years ago

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Suppose that circles R and S have a central angle measuring 80°. Additionally, the measure of the sector for circle R is

riadik2000 [5.3K]

The correct answer is B) 9 m.

The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.

Using this same formula for circle S, we will work backward to find the radius:

18π = 2/9πr²

Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²

Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²

Take the square root of both sides:
√81 = √r²
9 = r

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3 years ago

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A brand of grape juice that's is 25% grape juice is mixed with another brand that is 75% grape juice. The result is 7 gallons of

garri49 [273]

Answer:

5.6 gallons.

Step-by-step explanation:

If we take x gallons of 25% grape juice then it will contain $\frac{x}{4}$ gallons of pure grape juice.

Again, if we take y gallons of 75% grape juice then it will contain $\frac{3y}{4}$ gallons of pure grape juice.

If we mix them then the total volume will become x + y = 7 gallons ...... (1)

Again the mixture will become 35% juice.

So, $\frac{\frac{x}{4} +\frac{3y}{4} }{x+y} =\frac{35}{100}$

⇒ 0.25x + 0.75y = 0.35x + 0.35y

⇒0.1x = 0.4y

⇒x = 4y........ (2)

Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons

Hence, x = 4y = 5.6 gallons

Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)

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3 years ago

A media company wants to track the results of his new marketing plan so the video production manager recorded the number of use

konstantin123 [22]

Answer:

$f(x)=5120(5)^{x}$

Step-by-step explanation:

From the image, f(x) and x are rlated by

$f(x)=a( {b})^{x}$

where b is the common ratio

We first find the value for b

$\frac{6400}{5120}= 5$

$\frac{8000}{6400}= 5$

$\frac{10000}{8000} = 5$

$\frac{12500}{10000} = 5$

$\frac{15625}{12500}=5$

so we can say the common ratio, b=5

we put in any value of f(x) and the corresponding value for x to find a value

Let put x=0 and f(x)=5120

This implies that

$5120 = a(5)^{0}$

but

$5^{0} = 1$

Hence a=5120

Thus the equation which model the relationship between the weeks and the viewers is

$f(x)=5120(5)^{x}$

6 0

3 years ago

What are the measures of Angles a, b, and c? Show your work and explain your answers.<br> 25 points

bogdanovich [222]

Answer:

a=40

b=50

c= 115

Step-by-step explanation:

The first angle we will find is angle c

65 and angle c make a straight line so they add to 180

c+65 = 180

Subtract 65 from each side

c+65 -65 =180-65

c = 115

Angle a and 40 are vertical angles

Vertical angles are equal

angle a = 40

The sum of the angles in a triangle are equal to 180

a+b+ right angle = 180

40+ b + 90 = 180

130 +b = 180

Subtract 130 from each side

130-130+b = 180-130

b= 50

5 0

3 years ago